Work out 5/6 x 3/4Give the answer as a fraction in its simplest form.

Mathematics

1 answer:

wolverine [178]2 years ago

8 0

Answer:

The answer is 5/8

Step-by-step explanation:

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Find the size of each of 66 payments made at the end of each year into a 88% rate sinking fund which produces $36000 at the en

Assoli18 [71]

Answer: $7787.99

Step-by-step explanation:

We know that the formula to find the periodic payment on an annuity is given by :-

$P=\dfrac{r(PV)}{1-(1+r)^{-n}}$ , where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.

Given : Present value : $36000

Rate of interest = 8%=0.08

Time period = 6 years

Then , the periodic payment will be :-

$P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99$

Hence, the payment size is $7787.99.

8 0

2 years ago

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ<br>

lilavasa [31]

Answer:

30°

Step-by-step explanation:

$\because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}$